94
6 Ratchet Dimer Brownian Motor with Hydrodynamic Interactions
Fig. 6.10 Spatial cross correlations in x direction as a function of lag time, Corr[r x (1).r x (2)]
versus Lag time. Corr [r x (1).r x (2)] j =
N −1
k=0
r x (1) j +k r x (2) k , F load = −1
by Houtman et. al. [30] who developed a simple 2D-lattice model in order to test
the influence of hydrodynamic interactions on the collective transport of molecular
motors, which is important for the understanding of cell growth and development.
Houtman et. al. showed that long range collective hydrodynamic interactions lead
to a substantial increase in the effective velocity of motors attached to a filament.
Their results were also supported by experiments. In conclusion hydrodynamic
interactions influence substantially the dynamics of a ratchet dimer Brownian motor,
consequently they have to be considered in any theory where the molecular motors
are in a liquid medium.
6.5 Program 6.1, Fortran Code
THE FOLLOWING FILE “motor.in”, HAS TO BE ADDED TO THE
DIRECTORY
IN ORDER TO RUN THE NEXT PROGRAM:
FILE motor.in:
=================================================
initposi*tape2 *tape3 *output00*tape5 *tape6 *tape7 *tape8 *
6 Ratchet Dimer Brownian Motor with Hydrodynamic Interactions
Fig. 6.10 Spatial cross correlations in x direction as a function of lag time, Corr[r x (1).r x (2)]
versus Lag time. Corr [r x (1).r x (2)] j =
N −1
k=0
r x (1) j +k r x (2) k , F load = −1
by Houtman et. al. [30] who developed a simple 2D-lattice model in order to test
the influence of hydrodynamic interactions on the collective transport of molecular
motors, which is important for the understanding of cell growth and development.
Houtman et. al. showed that long range collective hydrodynamic interactions lead
to a substantial increase in the effective velocity of motors attached to a filament.
Their results were also supported by experiments. In conclusion hydrodynamic
interactions influence substantially the dynamics of a ratchet dimer Brownian motor,
consequently they have to be considered in any theory where the molecular motors
are in a liquid medium.
6.5 Program 6.1, Fortran Code
THE FOLLOWING FILE “motor.in”, HAS TO BE ADDED TO THE
DIRECTORY
IN ORDER TO RUN THE NEXT PROGRAM:
FILE motor.in:
=================================================
initposi*tape2 *tape3 *output00*tape5 *tape6 *tape7 *tape8 *